Boston University took a poll of its graduating students. A 30% of students said that they took a humanities course, 48% of students said they took a aconomics course and 20% said they took both a humanities and an economics course.
1. Draw a Venn diagram that depicts the information above.
So I know how to draw this diagram, the thing that I asking is that
Do I have to consider only the information that they only ask to 78% of student or is 100% but only give 78% of the answer ?
I am so confused and I CAN'T ANSWER TO OTHER QUESTIONS WITHOUT THAT INFO
2. What is the probbality that a randomly selected graduating student took a humanities or an economics course ?
I don't know how to answer that without knowing how many student they ask ?
Great then could you help me with the following ?
What is the probability that a randomly selected graduting student took a humanities but not an economics course
I find P (H) = 30+20 / 100 = 50/100 = 1/2 = 0.5
Then 2.
What is the probabilty that a rendomly selected graduate student did not take a humanities nor an economic course,
I think its what its left, right ? so 22% ? IS THAT RIGHT ?
Last : What is the probability that a randomly selected graduating student took exaclty one of these types of course ?
What ? i don't see how to find the answer to that one
Thank you so much for your help !
+130536 Look at my revised first answer......I realize that I made a mistake with the Venn Diagram....!!!
To answer your other questions, we have
P (Humanities but not Economics) = 10% [ this is just the "10" in the left circle]
P (Neither) = [100 - (10 + 20 + 28)] / 100 = [100 - 58] /100 = 42/ 100 = 42% [this would be everyone falling "outside" the circles and their intersection ]
P (Exactly one of the courses) = [ 10 + 28] / 100 = 38 / 100 = 38% [this is the sum of the two values in the circles, but not in the intersection]
